[branchless]

I'm not sure point 3 is correct. Buying regularly would have seen you buy below today's price and above it.

[markvdb]

Dollar cost averaging lowers risk and increases returns. If you can afford it, you may also want to have a look at value averaging.

[branchless]

It lowers risk making returns and/or losses less volatile. It does not increase returns. Of those dumping a lump sum in some lose more some win more and averaging them smooths it out. It's not a magic have your cake and eat it.